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Problem of the Week
Problem C
Favourite Number 1

The digit sum of a positive integer is the sum of all its digits. For example, the digit sum of the integer \(2345\) is \(2+3+4+5=14\).

Isaac announced that his favourite number is a five-digit positive integer with a digit sum of \(3\). Radhika then wrote down a five-digit positive integer with a digit sum of \(3\). What is the probability that the number Radhika wrote was Isaac’s favourite number?

Themes: Data Management, Number Sense